Detection and Control Problems for Non-Linear Distributed-Parameter Systems With Delays
International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 3, pp. 437-464
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First, we consider non-linear discrete-time and continuous-time systems with unknown inputs. The problem of reconstructing an input using the information given by an output equation is investigated. Then we examine a control problem for non-linear discrete-time hereditary systems, i.e. the problem of finding a control which drives the state of the system from its initial value to a given desired final state. The methods used to solve these problems are based on the state-space technique and fixed-point theorems. To illustrate the outlined ideas, various numerical simulation results are presented.
Keywords:
distributed-parameter systems, non-linear discrete-time systems, detection, control, fixed-point theorems
Mots-clés : system z rozproszonymi parametrami, detekcja, sterowanie
Mots-clés : system z rozproszonymi parametrami, detekcja, sterowanie
@article{IJAMCS_2000_10_3_a0,
author = {Namir, A. and Lahmidi, F. and Labriji, E. H.},
title = {Detection and {Control} {Problems} for {Non-Linear} {Distributed-Parameter} {Systems} {With} {Delays}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {437--464},
year = {2000},
volume = {10},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_3_a0/}
}
TY - JOUR AU - Namir, A. AU - Lahmidi, F. AU - Labriji, E. H. TI - Detection and Control Problems for Non-Linear Distributed-Parameter Systems With Delays JO - International Journal of Applied Mathematics and Computer Science PY - 2000 SP - 437 EP - 464 VL - 10 IS - 3 UR - http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_3_a0/ LA - en ID - IJAMCS_2000_10_3_a0 ER -
%0 Journal Article %A Namir, A. %A Lahmidi, F. %A Labriji, E. H. %T Detection and Control Problems for Non-Linear Distributed-Parameter Systems With Delays %J International Journal of Applied Mathematics and Computer Science %D 2000 %P 437-464 %V 10 %N 3 %U http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_3_a0/ %G en %F IJAMCS_2000_10_3_a0
Namir, A.; Lahmidi, F.; Labriji, E. H. Detection and Control Problems for Non-Linear Distributed-Parameter Systems With Delays. International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 3, pp. 437-464. http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_3_a0/